Cyclic constructs with an N-terminus and a C-terminus which bind to a natriuretic peptide receptor and include a plurality of amino acid residues, at least one amino acid surrogate of formula I: where R, R′, Q, Y, W, Z, J, x and n are as defined in the specification, and optionally at least one prosthetic group, pharmaceutical compositions including such cyclic constructs, and methods of treating congestive heart failure or other conditions, syndromes or diseases for which induction of anti-hypertensive, cardiovascular, renal or endocrine effects are desired.